A delay partitioning approach to delay-dependent stability analysis for neutral type neural networks with discrete and distributed delays

Exponential stability criterion for interval neural networks with discrete and distributed delays

“…This section deals with the existence and uniqueness of the equilibrium point for system (2). Before introducing the existence and uniqueness theorem, an useful conclusion is derived in Theorem 3.1 firstly.…”

“…In order to prove the existence and uniqueness of the equilibrium point of system (2), it is sufficient to show that HðxÞ is a homeomorphism on R n . Therefore, the proof can be completed by two steps.…”

“…Up to now, various methods have been employed to get stability of neural networks (NNs) with discrete delay in the previous literatures, for example, linear matrix inequality method [3], norm inequality technique [6], and, etc. However, as pointed out in [2], it should be noted that neural networks (NNs) usually have spatial extent due to the presence of a multitude of parallel pathways with a variety of axon sizes and lengths. In recent years, neural networks (NNs) with discrete and distributed delays has attracted much attention in research [10][11][12][13][14][15]18].…”

Robust H -infinity control for a class of neutral-type systems via sliding mode observer

“…So it is particularly sensitive to time delays and can be easily destabilized. Therefore, the stability and stabilization of the NTSTD has recently attracted the attention of a number of researchers [6][7][8][9][10][11][12][13][14][15][16][17][18].…”

Improved Criteria on Robust Analysis for Linear System Using Convex Combination and Geometric Sequence Methods

“…For obtaining a higher delay upper bound, various forms of Lyapunov-Krasovskii functional (LKF) are constructed, such as discretized LKF, augmented LKF and delay-partitioning LKF [6][7][8][9][10] . In fact, expected stability results will be achieved if well-developed inequalities are employed for estimating LKF derivative.…”